For all x E R, it is known that 1. Find the value of f(2022) (0). 2. Find the exact value of f(x) +∞ 3n (n + 1) n! n=0 = xe -x = +∞ (−1)”.gn+1 n! n=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For all x R, it is known that
1. Find the value of ƒ(2022) (0).
2. Find the exact value of
f(x) = xe¯
+∞ 3n (n+1)
n!
-X
||
=
+∞
n=0
-1)^pn+1
n!
n=0
3. Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of −0.1e⁰.¹.
Transcribed Image Text:For all x R, it is known that 1. Find the value of ƒ(2022) (0). 2. Find the exact value of f(x) = xe¯ +∞ 3n (n+1) n! -X || = +∞ n=0 -1)^pn+1 n! n=0 3. Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of −0.1e⁰.¹.
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